# Precalculus Examples

, ,

Step 1

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by gives the next term. In other words, .

Geometric Sequence:

Step 2

This is the form of a geometric sequence.

Step 3

Substitute in the values of and .

Step 4

Step 4.1

Multiply by .

Step 4.1.1

Raise to the power of .

Step 4.1.2

Use the power rule to combine exponents.

Step 4.2

Combine the opposite terms in .

Step 4.2.1

Subtract from .

Step 4.2.2

Add and .